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Finding the Third Proportional to 2,563,365,400 and 5,262,621,424

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Solution

The third proportional to 2,563,365,400 and 5,262,621,424 is: 10,804,228,009.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563,365,400 : 5,262,621,424 = 5,262,621,424 : x
  2. Step 2: Convert to fraction form
    2,563,365,400/5,262,621,424 = 5,262,621,424/x
  3. Step 3: Cross multiply
    2,563,365,400x = 5,262,621,424 × 5,262,621,424
  4. Step 4: Simplify right side
    2,563,365,400x = 27,695,184,252,343,787,520
  5. Step 5: Solve for x
    x = 27,695,184,252,343,787,520/2,563,365,400
  6. Step 6: Final answer
    x = 10,804,228,009.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.